Information on Result #1201406
Digital (35, 50, 37458)-net over F64, using net defined by OOA based on linear OOA(6450, 37458, F64, 15, 15) (dual of [(37458, 15), 561820, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(6450, 262207, F64, 15) (dual of [262207, 262157, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(6450, 262210, F64, 15) (dual of [262210, 262160, 16]-code), using
- (u, u+v)-construction [i] based on
- linear OA(647, 65, F64, 7) (dual of [65, 58, 8]-code or 65-arc in PG(6,64)), using
- extended Reed–Solomon code RSe(58,64) [i]
- the expurgated narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(6443, 262145, F64, 15) (dual of [262145, 262102, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(647, 65, F64, 7) (dual of [65, 58, 8]-code or 65-arc in PG(6,64)), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(6450, 262210, F64, 15) (dual of [262210, 262160, 16]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.